The current study aims to test the usage of econometric and machine learning approaches to study the relationship between methane (CH₄), a hydrocarbon component of natural gas, as a proxy of carbon emission, GDP as economic growth, financial development (FIN), and medium and high technologies as a proxy of information technology (ICT) and human development (HDI). This study observes two extended moderating effect models of human development index and financial development via medium and high technologies on carbon emissions over the 15-year periods from 2007 to 2021 for the 27 EU economies. Results indicate that when considered solely, ICT, economic growth, and HDI improve environmental quality and contribute to climate change mitigation, reducing methane emissions, whereas financial development seems to damage environmental quality. However, the crossed effects of ICT with HDI, and that of ICT with FIN, were considered in estimations, with results pointing out that those favorably affect climate change mitigation. Jointly considering ICT, HDI, and financial development proves to have a synergistic effect in promoting environmental health than each element on its own. Green and yellow countries were also identified revealing the countries for which a reduction and increase, respectively, in the value of methane emissions is predicted after three years. In the case of the entire panel, the STR (linear regression tree) algorithm predicts an average growth in methane emissions of around 3.64 %. Important policy directions are drawn considering the results obtained.